Geodesic
A geometrical solution of a problem on wavelets
Studia Mathematica, Tome 139 (2000) no. 3, pp. 261-273 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove the existence of nonseparable, orthonormal, compactly supported wavelet bases for $L^2(ℝ^2)$ of arbitrarily high regularity by using some basic techniques of algebraic and differential geometry. We even obtain a much stronger result: ``most'' of the orthonormal compactly supported wavelet bases for $L^2(ℝ^2)$, of any regularity, are nonseparable 
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Antoine Ayache. A geometrical solution of a problem on wavelets. Studia Mathematica, Tome 139 (2000) no. 3, pp. 261-273. doi: 10.4064/sm-139-3-261-273

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